Geometry of Surfaces A Practical Guide for Mechanical Engineers 2nd edition by Stephen Radzevich 9783030221843 3030221849

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ISBN 10: 3030221849
ISBN 13: 9783030221843 
Author: Stephen P. Radzevich

This updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to undergo costly final finishing. Dr. Radzevich describes techniques in this volume based primarily on classical differential geometry of surfaces. He then transitions from differential geometry of surfaces to engineering geometry of surfaces, and examines how part surfaces are either machined themselves, or are produced by tools with surfaces that are precisely machined. The book goes on to explain specific methods, such as derivation of planar characteristic curves based on Plücker conoid constructed at a point of the part surface, and that analytical description of part surface is vital for surfaces machined using CNC technology, and especially so for multi-axes NC machines. Providing readers with a powerful tool for analytical description of part surfaces machined on conventional machine tools and numerically controlled machines, this book maximizes understanding on optimal treatment of part surfaces to meet the requirements of today’s high tech industry.

Geometry of Surfaces A Practical Guide for Mechanical Engineers 2nd Table of contents:

Part I. Part Surfaces

1. Geometry of a Part Surface

2. On a Possibility of Classification of Part Surfaces

Part II. Contact Geometry of Part Surfaces

3. Early Works in the Field of Contact Geometry of Surfaces

4. An Analytical Method Based on the Second Fundamental Forms of Contacting Part Surfaces

5. Indicatrix of Conformity at Point of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency

6. “Plücker Conoid”: More Characteristic Curves

7. Possible Kinds of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency

Part III. Mapping of Contacting Part Surfaces

8. ℝ-Mapping of Interacting Part Surfaces

9. Generation of Enveloping Surfaces: General Consideration

10. Generation of Enveloping Surfaces: Special Cases

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